The \(\delta \) -correctness of this stopping is immediate from (REF ), itself a proven result [1]}. However, we are not aware of any existing analysis of its stopping time. We obtain the following upper bound by expanding out the Beta density function at \(\frac{1}{2}\)  and bounding tail probabilities using Chernoff bounds. The detailed working, which also involves steps to optimise constants, is provided in Appendix  .
